As a group of middle school mathematics teachers and teacher educators, the authors have focused their attention on using innovative practices coupled with high cognitive demand tasks to engage students, pique their interest in mathematics, and promote conceptual understanding. This article explores their three-act task design. In act 1, students…

To help middle school students make better sense of decimals and fraction, the author and an eighth-grade math teacher worked on a 90-minute lesson that focused on representing repeating decimals as fractions. They embedded experimentations and explorations using technology and calculators to help promote students' intuitive and conceptual…

More than 2,200 years ago, Eratosthenes, who was a Greek astronomer, geographer, and mathematician, used a simple proportion involving the distance between two ancient cities and measures of shadows cast in those cities during a summer solstice to estimate the circumference of Earth (Nicastro 2008, 25-28). Today, middle school students can use…

Students' experiences with statistics and data analysis in middle school are often limited to little more than making and interpreting graphs. Although students may develop fluency in statistical procedures and vocabulary, they frequently lack the skills necessary to apply statistical reasoning in situations other than clear-cut textbook examples.…

The rapid growth of digital technology, including the worldwide adoption of mobile and embedded computers, places new demands on K-grade 12 educators and their students. Young people should have an opportunity to learn the technical knowledge of computer science (e.g., computer programming, mathematical logic, and discrete mathematics) in order to…

In this article, middle school mathematics teacher Jennifer Zakrzewski describes how she successfully incorporated iPads and Apple TV (for projection of iPad screens) into her classroom while having her students solve a problem about mangoes. As Zakrzewski began a unit on multiplying and dividing fractions, she chose to start with the Mangoes…

Narratives are a wonderful way to allow students to personalize mathematics. In the context of this article, the authors define narratives as short stories, written by students, that contain a mathematical work problem centered on students' lives and interests. These narratives can be supported with art, such as drawings or photographs. When…

Many students and adults feel that algebra is merely the shuffling of symbols. The three interrelated concepts of variable, expression, and equation are central to beginning algebra, and in recent years, helping students understand the idea of a variable has been emphasized. Although graphing calculators help students solve equations, it is also…

Focuses on the development of a middle school's meaningful problem-based computer and technology education program. Discusses constructing the bridge between in-school and out-of-school learning by preparing real-life situations in the classroom. Highlights the use of technology, especially computers, by focusing on problem posing and problem…

Presents selected responses to the question "The Farmer's Dilemma" that represent the thinking of sixth-, seventh-, and eighth-grade students. Indicates that by being given the freedom to use a variety of methods, most students found at least one solution or demonstrated an understanding of the restrictions set by the problem. (ASK)

Describes a framework to help teachers decide when to use calculators with their students. (YDS)

Presents historical mathematics to students. Suggests allowing students to have two methods of problem solving with a graphing calculator to allow for a visual result. Indicates that students should have more than one opportunity to experience a solution to a problem, a variety of contexts for the problem, and an opportunity to communicate. (ASK)

Uses SimCalc MathWorlds, which is downloaded from the World Wide Web, to engage students in algebraic problem-solving activities. Uses software to animate characters by creating graphs of position and velocity. (YDS)

Describes spreadsheet activities that illustrate a problem-solving approach to teaching statistical concepts, allowing students to explore properties underlying descriptive statistics before being introduced to computational rules. (MKR)

This article explores some way that technology can be used to promote mathematical thinking and problem solving. Specifically, it focuses on the use of technology for multiple representations. (Contains 8 figures.)